Calculating Force on a Child Riding a Ferris Wheel

[AeroFunk]

A 50 kg child riding a farris wheel (radius= 10m) travels in a vertical circle. The wheel completes one revolution every 10 seconds. What is the magnitude of the force on the child by the seat at the highest point on the circlular path?

I found the Force due to gravity is mg = 490 N
angular velcity w= 0.2(pi) rad/s
and the force due to radial acceleration ar=(w^2)*R*m= 197.39 N

Is that all the forces I need to find, what exactly do I do. Thanks for the help.

 

[Parth Dave]

The force on the child by the seat would be the normal force. Essentially, you need to find how the magnitude of this force.

 

[AeroFunk]

Yea i know, but the normal force would just be the oppisite of the sum of the forces "going down." Am I missing a force I need calculate or have I made a mistake?

 

[Sirus]

I believe that since
F_{net}=F_{centripetal},
F_{normal}=F_{centripetal}-F_{g}

 

[AeroFunk]

thank you that worked